Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Question
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Chapter 6.5, Problem 5CYU

a.

To determine

To write the system of linear equations based on the information of the graph.

a.

Expert Solution
Check Mark

Answer to Problem 5CYU

  x+y=11 and 12.6+21y=978.6

Explanation of Solution

Given:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 6.5, Problem 5CYU

Formula Used:

Equation of a line passing through two point (x1,y1) and (x2,y2) is:

  xx1x1x2=yy1y1y2

Calculation:

Blue Line: This line passes through the points (11, 0) and (20, 9).

Hence, the equation of the line will be:

  x111120=y009x119=y09y=x11x+y=11

Red Line: This line passes through (0, 46.6) and (21, 34).

Hence, the equation of the line will be:

  x0021=y46.646.634x021=y46.612.612.6x=21y+978.612.6x+21y=978.6

Conclusion:

Hence, the system of equations is: x+y=11 and 12.6+21y=978.6.

b.

To determine

To interpret the meaning of each equation

b.

Expert Solution
Check Mark

Explanation of Solution

Given:

  x+y=11

  12.6+21y=978.6

Let,

  x+y=11..............(i)

  12.6+21y=978.6...................(ii)

Equation ( i ), explains the increase of increase of total profit with increase of the number of subs.

Equation ( ii ), explains the decrease of increase of total number of items that can be sold with increase of the number of subs.

c.

To determine

To solve the system of equations and explain the meaning of the solution.

c.

Expert Solution
Check Mark

Answer to Problem 5CYU

  x=36 and y=25.

Explanation of Solution

Given:

  x+y=11

  12.6+21y=978.6

Calculation:

Let,

  x+y=11..............(i)

  12.6+21y=978.6...................(ii)

Now, add equation (ii) with 12.6× equation ( i ),

  12.6(x+y)+(12.6x+21y)=12.6×(11)+978.612.6x+12.6y+12.6x+21y=138.6+978.633.6y=840y=25

Putting the value of y in equation ( i ),

  x+25=11x=36

Hence, for blue line, when there are 36 subs, there will be total profit of 25.

For red line, when there are 36 subs, the total items that could be sold are 25.

Conclusion:

Hence the solution is: x=36 and y=25.

Chapter 6 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47HPCh. 6.1 - Prob. 48HPCh. 6.1 - Prob. 49HPCh. 6.1 - Prob. 50HPCh. 6.1 - Prob. 51HPCh. 6.1 - Prob. 52HPCh. 6.1 - Prob. 53PFACh. 6.1 - Prob. 54PFACh. 6.1 - Prob. 55PFACh. 6.1 - Prob. 56PFACh. 6.1 - Prob. 57PFACh. 6.1 - Prob. 58PFACh. 6.1 - Prob. 59PFACh. 6.2 - Prob. 1AGPCh. 6.2 - Prob. 1BGPCh. 6.2 - Prob. 2AGPCh. 6.2 - Prob. 2BGPCh. 6.2 - Prob. 3AGPCh. 6.2 - Prob. 3BGPCh. 6.2 - Prob. 4GPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8PPSCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26PPSCh. 6.2 - Prob. 27HPCh. 6.2 - Prob. 28HPCh. 6.2 - Prob. 29HPCh. 6.2 - Prob. 30HPCh. 6.2 - Prob. 31HPCh. 6.2 - Prob. 32PFACh. 6.2 - Prob. 33PFACh. 6.2 - Prob. 34PFACh. 6.2 - Prob. 35PFACh. 6.2 - Prob. 36PFACh. 6.2 - Prob. 37PFACh. 6.2 - Prob. 38PFACh. 6.2 - Prob. 39PFACh. 6.3 - Prob. 1AGPCh. 6.3 - Prob. 1BGPCh. 6.3 - Prob. 2GPCh. 6.3 - Prob. 3GPCh. 6.3 - Prob. 4GPCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 6CYUCh. 6.3 - Prob. 7PPSCh. 6.3 - Prob. 8PPSCh. 6.3 - Prob. 9PPSCh. 6.3 - Prob. 10PPSCh. 6.3 - Prob. 11PPSCh. 6.3 - Prob. 12PPSCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34HPCh. 6.3 - Prob. 35HPCh. 6.3 - Prob. 36HPCh. 6.3 - Prob. 37HPCh. 6.3 - Prob. 38HPCh. 6.3 - Prob. 39HPCh. 6.3 - Prob. 40PFACh. 6.3 - Prob. 41PFACh. 6.3 - Prob. 42PFACh. 6.3 - Prob. 43PFACh. 6.3 - Prob. 44PFACh. 6.3 - Prob. 45PFACh. 6.3 - Prob. 46PFACh. 6.4 - Prob. 1AGPCh. 6.4 - Prob. 1BGPCh. 6.4 - Prob. 2AGPCh. 6.4 - Prob. 2BGPCh. 6.4 - Prob. 3GPCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5CYUCh. 6.4 - Prob. 6CYUCh. 6.4 - Prob. 7PPSCh. 6.4 - Prob. 8PPSCh. 6.4 - Prob. 9PPSCh. 6.4 - Prob. 10PPSCh. 6.4 - Prob. 11PPSCh. 6.4 - Prob. 12PPSCh. 6.4 - Prob. 13PPSCh. 6.4 - Prob. 14PPSCh. 6.4 - Prob. 15PPSCh. 6.4 - Prob. 16PPSCh. 6.4 - Prob. 17PPSCh. 6.4 - Prob. 18PPSCh. 6.4 - Prob. 19PPSCh. 6.4 - Prob. 20PPSCh. 6.4 - Prob. 21PPSCh. 6.4 - Prob. 22PPSCh. 6.4 - Prob. 23PPSCh. 6.4 - Prob. 24PPSCh. 6.4 - Prob. 25PPSCh. 6.4 - Prob. 26PPSCh. 6.4 - Prob. 27PPSCh. 6.4 - Prob. 28PPSCh. 6.4 - Prob. 29HPCh. 6.4 - Prob. 30HPCh. 6.4 - Prob. 31HPCh. 6.4 - Prob. 32HPCh. 6.4 - Prob. 33HPCh. 6.4 - Prob. 34PFACh. 6.4 - Prob. 35PFACh. 6.4 - Prob. 36PFACh. 6.4 - Prob. 37PFACh. 6.4 - Prob. 38PFACh. 6.5 - Prob. 1AGPCh. 6.5 - Prob. 1BGPCh. 6.5 - Prob. 1CGPCh. 6.5 - Prob. 2GPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6PPSCh. 6.5 - Prob. 7PPSCh. 6.5 - Prob. 8PPSCh. 6.5 - Prob. 9PPSCh. 6.5 - Prob. 10PPSCh. 6.5 - Prob. 11PPSCh. 6.5 - Prob. 12PPSCh. 6.5 - Prob. 13PPSCh. 6.5 - Prob. 14PPSCh. 6.5 - Prob. 15PPSCh. 6.5 - Prob. 16PPSCh. 6.5 - Prob. 17PPSCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21PPSCh. 6.5 - Prob. 22PPSCh. 6.5 - Prob. 23HPCh. 6.5 - Prob. 24HPCh. 6.5 - Prob. 25HPCh. 6.5 - Prob. 26HPCh. 6.5 - Prob. 27HPCh. 6.5 - Prob. 28HPCh. 6.5 - Prob. 29PFACh. 6.5 - Prob. 30PFACh. 6.5 - Prob. 31PFACh. 6.5 - Prob. 32PFACh. 6.5 - Prob. 33PFACh. 6.5 - Prob. 34PFACh. 6.5 - Prob. 35PFACh. 6.6 - Prob. 1AGPCh. 6.6 - Prob. 1BGPCh. 6.6 - Prob. 1CGPCh. 6.6 - Prob. 1DGPCh. 6.6 - Prob. 2AGPCh. 6.6 - Prob. 2BGPCh. 6.6 - Prob. 3GPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4CYUCh. 6.6 - Prob. 5CYUCh. 6.6 - Prob. 6CYUCh. 6.6 - Prob. 7CYUCh. 6.6 - Prob. 8CYUCh. 6.6 - Prob. 9CYUCh. 6.6 - Prob. 10PPSCh. 6.6 - Prob. 11PPSCh. 6.6 - Prob. 12PPSCh. 6.6 - Prob. 13PPSCh. 6.6 - Prob. 14PPSCh. 6.6 - Prob. 15PPSCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19PPSCh. 6.6 - Prob. 20PPSCh. 6.6 - Prob. 21PPSCh. 6.6 - Prob. 22PPSCh. 6.6 - Prob. 23PPSCh. 6.6 - Prob. 24PPSCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 26PPSCh. 6.6 - Prob. 27PPSCh. 6.6 - Prob. 28PPSCh. 6.6 - Prob. 29PPSCh. 6.6 - Prob. 30PPSCh. 6.6 - Prob. 31PPSCh. 6.6 - Prob. 32PPSCh. 6.6 - Prob. 33PPSCh. 6.6 - Prob. 34PPSCh. 6.6 - Prob. 35PPSCh. 6.6 - Prob. 36PPSCh. 6.6 - Prob. 37PPSCh. 6.6 - Prob. 38HPCh. 6.6 - Prob. 39HPCh. 6.6 - Prob. 40HPCh. 6.6 - Prob. 41HPCh. 6.6 - Prob. 42HPCh. 6.6 - Prob. 43HPCh. 6.6 - Prob. 44PFACh. 6.6 - Prob. 45PFACh. 6.6 - Prob. 46PFACh. 6.6 - Prob. 47PFACh. 6.6 - Prob. 48PFACh. 6 - Prob. 1MCQCh. 6 - Prob. 2MCQCh. 6 - Prob. 3MCQCh. 6 - Prob. 4MCQCh. 6 - Prob. 5MCQCh. 6 - Prob. 6MCQCh. 6 - Prob. 7MCQCh. 6 - Prob. 8MCQCh. 6 - Prob. 9MCQCh. 6 - Prob. 10MCQCh. 6 - Prob. 11MCQCh. 6 - Prob. 12MCQCh. 6 - Prob. 13MCQCh. 6 - Prob. 14MCQCh. 6 - Prob. 15MCQCh. 6 - Prob. 16MCQCh. 6 - Prob. 17MCQCh. 6 - Prob. 18MCQCh. 6 - Prob. 19MCQCh. 6 - Prob. 20MCQCh. 6 - Prob. 1SGRCh. 6 - Prob. 2SGRCh. 6 - Prob. 3SGRCh. 6 - Prob. 4SGRCh. 6 - Prob. 5SGRCh. 6 - Prob. 6SGRCh. 6 - Prob. 7SGRCh. 6 - Prob. 8SGRCh. 6 - Prob. 9SGRCh. 6 - Prob. 10SGRCh. 6 - Prob. 11SGRCh. 6 - Prob. 12SGRCh. 6 - Prob. 13SGRCh. 6 - Prob. 14SGRCh. 6 - Prob. 15SGRCh. 6 - Prob. 16SGRCh. 6 - Prob. 17SGRCh. 6 - Prob. 18SGRCh. 6 - Prob. 19SGRCh. 6 - Prob. 20SGRCh. 6 - Prob. 21SGRCh. 6 - Prob. 22SGRCh. 6 - Prob. 23SGRCh. 6 - Prob. 24SGRCh. 6 - Prob. 25SGRCh. 6 - Prob. 26SGRCh. 6 - Prob. 27SGRCh. 6 - Prob. 28SGRCh. 6 - Prob. 29SGRCh. 6 - Prob. 30SGRCh. 6 - Prob. 31SGRCh. 6 - Prob. 32SGRCh. 6 - Prob. 33SGRCh. 6 - Prob. 34SGRCh. 6 - Prob. 35SGRCh. 6 - Prob. 36SGRCh. 6 - Prob. 37SGRCh. 6 - Prob. 38SGRCh. 6 - Prob. 39SGRCh. 6 - Prob. 40SGRCh. 6 - Prob. 41SGRCh. 6 - Prob. 42SGRCh. 6 - Prob. 43SGRCh. 6 - Prob. 44SGRCh. 6 - Prob. 45SGRCh. 6 - Prob. 46SGRCh. 6 - Prob. 47SGRCh. 6 - Prob. 48SGRCh. 6 - Prob. 49SGRCh. 6 - Prob. 50SGRCh. 6 - Prob. 51SGRCh. 6 - Prob. 52SGRCh. 6 - Prob. 53SGRCh. 6 - Prob. 54SGRCh. 6 - Prob. 55SGRCh. 6 - Prob. 56SGRCh. 6 - Prob. 57SGRCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Prob. 3CRCh. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Prob. 9CRCh. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CR
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